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2131332120320 = 28513389329267
BaseRepresentation
bin11111000000111101010…
…010110011111100000000
321112202100012101211010112
4133000331102303330000
5234404432010322240
64311042004050452
7306661253052104
oct37007522637400
97482305354115
102131332120320
117519904666a7
122a5096993a28
13125ca340bc80
147522ac3b904
153a692c78665
hex1f03d4b3f00

2131332120320 has 144 divisors (see below), whose sum is σ = 5512064856480. Its totient is φ = 784927997952.

The previous prime is 2131332120317. The next prime is 2131332120331. The reversal of 2131332120320 is 230212331312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6308327 + ... + 6637593.

It is an arithmetic number, because the mean of its divisors is an integer number (38278228170).

Almost surely, 22131332120320 is an apocalyptic number.

2131332120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131332120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756032428240).

2131332120320 is an abundant number, since it is smaller than the sum of its proper divisors (3380732736160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131332120320 is a wasteful number, since it uses less digits than its factorization.

2131332120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329690 (or 329676 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2131332120320 its reverse (230212331312), we get a palindrome (2361544451632).

The spelling of 2131332120320 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 389 416 520 640 778 832 1040 1280 1556 1664 1945 2080 3112 3328 3890 4160 5057 6224 7780 8320 10114 12448 15560 16640 20228 24896 25285 31120 40456 49792 50570 62240 80912 99584 101140 124480 161824 202280 248960 323648 329267 404560 497920 647296 658534 809120 1294592 1317068 1618240 1646335 2634136 3236480 3292670 4280471 5268272 6472960 6585340 8560942 10536544 13170680 17121884 21073088 21402355 26341360 34243768 42146176 42804710 52682720 68487536 84292352 85609420 105365440 128084863 136975072 171218840 210730880 256169726 273950144 342437680 421461760 512339452 547900288 640424315 684875360 1024678904 1095800576 1280848630 1369750720 1665103219 2049357808 2561697260 2739501440 3330206438 4098715616 5123394520 5479002880 6660412876 8197431232 8325516095 10246789040 13320825752 16394862464 16651032190 20493578080 26641651504 32789724928 33302064380 40987156160 53283303008 66604128760 81974312320 106566606016 133208257520 163948624640 213133212032 266416515040 426266424064 532833030080 1065666060160 2131332120320